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Summary

This authoritative book, highly regarded for its intellectual quality and contributions provides a solid foundation and life-long reference for anyone studying the most important methods of modern signal and system analysis.The major changes of the revision are reorganization of chapter material and the addition of a much wider range of difficulties.

Table of Contents

PREFACE

XVII

(8)

ACKNOWLEDGMENTS

XXV

(2)

FOREWORD

XXVII

1 SIGNALS AND SYSTEMS

1

(73)

1.0 Introduction

1

(1)

1.1 Continuous-Time and Discrete-Time Signals

1

(6)

1.1.1 Examples and Mathematical Representation

1

(4)

1.1.2 Signal Energy and Power

5

(2)

1.2 Transformations of the Independent Variable

7

(7)

1.2.1 Examples of Transformations of the Independent Variable

8

(3)

1.2.2 Periodic Signals

11

(2)

1.2.3 Even and Odd Signals

13

(1)

1.3 Exponential and Sinusoidal Signals

14

(16)

1.3.1 Continuous-Time Complex Exponential and Sinusoidal Signals

15

(6)

1.3.2 Discrete-Time Complex Exponential and Sinusoidal Signals

21

(4)

1.3.3 Periodicity Properties of Discrete-Time Complex Exponentials

25

(5)

1.4 The Unit Impulse and Unit Step Functions

30

(8)

1.4.1 The Discrete-Time Unit Impulse and Unit Step Sequences

30

(2)

1.4.2 The Continuous-Time Unit Step and Unit Impulse Functions

32

(6)

1.5 Continuous-Time and Discrete-Time Systems

38

(6)

1.5.1 Simple Examples of Systems

39

(2)

1.5.2 Interconnections of Systems

41

(3)

1.6 Basic System Properties

44

(12)

1.6.1 Systems with and without Memory

44

(1)

1.6.2 Invertibility and Inverse Systems

45

(1)

1.6.3 Causality

46

(2)

1.6.4 Stability

48

(2)

1.6.5 Time Invariance

50

(3)

1.6.6 Linearity

53

(3)

1.7 Summary

56

(1)

Problems

57

(17)

2 LINEAR TIME-INVARIANT SYSTEMS

74

(103)

2.0 Introduction

74

(1)

2.1 Discrete-Time LTI Systems: The Convolution Sum

75

(15)

2.1.1 The Representation of Discrete-Time Signals in Terms of Impulses

75

(2)

2.1.2 The Discrete-Time Unit Impulse Response and the Convolution-Sum Representation of LTI Systems

77

(13)

2.2 Continuous-Time LTI Systems: The Convolution Integral

90

(13)

2.2.1 The Representation of Continuous-Time Signals in Terms of Impulses